Skew generalized von Neumann-Jordan constant for the Banaś-Frączek space
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910747628404736 |
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| author | Chen, Linhui Liu, Qi Tan, Xiewei Wang, Yuxin |
| author_facet | Chen, Linhui Liu, Qi Tan, Xiewei Wang, Yuxin |
| contents | For any $λ>1, R_λ^2$ is Banaś-Frączek space, the exact value of the skew generalized von Neumann-Jordan constant $C_{\mathrm{NJ}}^p\left(ξ, η, R_λ^2\right)$ is calculated. By careful calculations, $C_{\mathrm{NJ}}^p\left(ξ, η, R_λ^2\right)=\frac{(ξ+η)^p+\left[(η+ξ)^2-\frac{4 ξη}{λ^2}\right]^{p / 2}}{2^{p-1}\left(ξ^p+η^p\right)}$ is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Skew generalized von Neumann-Jordan constant for the Banaś-Frączek space Chen, Linhui Liu, Qi Tan, Xiewei Wang, Yuxin Functional Analysis 46B20 F.2.2; I.2.7 For any $λ>1, R_λ^2$ is Banaś-Frączek space, the exact value of the skew generalized von Neumann-Jordan constant $C_{\mathrm{NJ}}^p\left(ξ, η, R_λ^2\right)$ is calculated. By careful calculations, $C_{\mathrm{NJ}}^p\left(ξ, η, R_λ^2\right)=\frac{(ξ+η)^p+\left[(η+ξ)^2-\frac{4 ξη}{λ^2}\right]^{p / 2}}{2^{p-1}\left(ξ^p+η^p\right)}$ is given. |
| title | Skew generalized von Neumann-Jordan constant for the Banaś-Frączek space |
| topic | Functional Analysis 46B20 F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2412.11665 |